0

# Is it possible for 2 circles to have the same area but not the same diameter?

Updated: 10/18/2022

Wiki User

13y ago

No. Area of a circle (A) is given by the formula A=(3.14128)*(d/2)2.

Modifying the equation, you get:

d= square root of (4A/3.14128)

where d is directly proportional to the value of A and vice versa. Since there are

no other variables in the equation, it's not possible for two circles to have same

area but different diameter.

Wiki User

13y ago

Earn +20 pts
Q: Is it possible for 2 circles to have the same area but not the same diameter?
Submit
Still have questions?
Related questions

Yes

### Is the diameter of a circle always the same?

Every diameter of the same circle is the same length, and unless someone comes alongand stretches the circle when you're not looking, the diameter doesn't change.So...YES-----------I disagree...No they are not... all circles would be the same size if that were the case.What remains a constant is that all circles are 360 degrees.==================================The question doesn't ask about " ... the diameter of circles ... ".It asks about " ... the diameter of a circle ... ".The diameter of circles is not always the same, butthe diameter of any one circle is always the same.P.S.: This is not the place to debate the answer.The "discussion area" is.

### Do concentric circles have the same circles?

No. You can only define a circle by radius, diameter, area, perimeter. Concentric circles have the same centre, therefore, if they were the same circles with the same radius, then they would all lie on top of each other and be effectively one circle.

Yes.

Yes.

### Do concentric circles have the same area?

Concentric circles have the same center. They are not necessarily the same size. If two concentric circles have the same area, then they are congruent, meaning they coincide when superimposed.

### Are circles contrugent?

yes' if they contain the same circumference and diameter then they are congruent(:

Yes

### Is it possible to have five circles with the same center?

Yes. The circles can be of different size. These are called concentric circles.

### How many circles of the same diameter can fit into a square to have the least area left without overlapping?

1^2 or 2^2 or 3^2 or 4^2.... and it goes on...where diameter of circle is equal to the side of square divided by square root of total numbers of circles.. eg : side of square = 10 no of circles = 2^2 square root = 2 therefore diameter = 10/2=5.

### Why are the area and the circumference of a circle the same?

Frankly, I haven't the slightest clue as to what you mean by "the same." The circumference of a circle is defined as pi x 2 x radius, or pi x diameter. The area is pi x radius squared. Therefore, for real circles, these values can only be the same if the diameter measure is the same as the radius squared. This works is the radius is 1 or 2.

### Do two circles with the same area have the same circumference?

YES!!! THey would be congruent circles; tjhat is appear to be the same size.